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Biorthogonal Wavelet Transforms

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Spline and Spline Wavelet Methods with Applications to Signal and Image Processing

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Abstract

In this chapter, design and implementation of biorthogonal wavelet transforms of periodic signals is described. For this purpose, perfect reconstruction (PR) p-filter banks are used. In particular, design of compactly supported wavelets, such as popular 5/3 and 9/7 wavelets is outlined. Adaptation of the concepts of polynomials restoration and of vanishing moments to the discrete periodic setting is discussed.

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Author information

Authors and Affiliations

  1. School of Computer Science, Tel Aviv University, Tel Aviv, Israel

    Amir Z. Averbuch & Valery A. Zheludev

  2. Mathematical Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Pekka Neittaanmaki

Authors
  1. Amir Z. Averbuch
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  2. Pekka Neittaanmaki
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  3. Valery A. Zheludev
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Corresponding author

Correspondence to Amir Z. Averbuch .

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Averbuch, A.Z., Neittaanmaki, P., Zheludev, V.A. (2014). Biorthogonal Wavelet Transforms. In: Spline and Spline Wavelet Methods with Applications to Signal and Image Processing. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-8926-4_15

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  • DOI: https://doi.org/10.1007/978-94-017-8926-4_15

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-8925-7

  • Online ISBN: 978-94-017-8926-4

  • eBook Packages: EngineeringEngineering (R0)

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